The two points are (x, f(x)) and (x+h, f(x+h)). To find the slope, the definition is the change in y over the change of x. Does this sound familiar!! Applying this definition we get the following formula: and the points x1 = 2 and x2 = 4. Then in our general answer, we will replace x with x1 and h = x2 - x1. Replacing these values in the formula yields 2(2) + (4 - 2) = 4 + 2 = 6. Thus, the slope of the secant line connecting the two points of the function is 6. Now using the same function as above, find the average rate of change between x1 = -1 and x2 = -3. The answer is 2(-1) + ( -3 + 1) = -2 + -2 = -4. This means that the secant line is going downhill or decreasing as you look at it from le

6 0

2 years ago

A square garden has a side length of 5 ft. What is the area of the garden?

vichka [17]

formula is lsquare so answer is 25ft

6 0

2 years ago

If angle EFH(5x+1)’ angle HFG(62 degrees) and angle EFG (18x+11) find each measurement

zloy xaker [14]

Answer:

∠EFH = 21°

∠HFG = 62°

∠EFG = 83°

Step-by-step explanation:

The diagram showing the angles has been attached to this response.

From the diagram, it can be deduced that;

Angle EFG = angle EFH + angle HFG

=> ∠EFG = ∠EFH + ∠HFG -------------------(i)

From the question:

∠EFH = (5x + 1)° -------------(ii)

∠HFG = 62° -------------(iii)

∠EFG = (18x + 11)° -------------(iv)

Substitute these values into equation (i) as follows;

(18x + 11) = (5x + 1) + 62

=> 18x + 11 = 5x + 1 + 62

Collect like terms and solve for x

18x - 5x = 1 + 62 - 11

13x = 52

x = 4

Now, to get each measurement, substitute x = 4 into each of equations (ii) - (iv)

∠EFH = (5x + 1)°

∠EFH = (5(4) + 1)°

∠EFH = (20 + 1)°

∠EFH = 21°

∠HFG = 62° [Does not depend on x]

∠EFG = (18x + 11)°

∠EFG = (18(4) + 11)°

∠EFG = (72 + 11)°

∠EFG = 83°

Conclusion:

∠EFH = 21°

∠HFG = 62°

∠EFG = 83°

8 0

3 years ago